Question

1. Radius of base of a cylinder is 12 cm and its height is 9 cm, find its curved surface are
and total surface area, (n = 3.14).... please don't send only ans send your solved sum also it's argant​

Answer 1

Given :

• Radius of Cylinder is 12 cm .
• Height of Cylinder is 9 cm .

To Find :

• Curved Surface Area of Cylinder .
• Total Surface Area of Cylinder .

Solution :

For Curved Surface Area :

Using Formula :

$\longmapsto\tt\boxed{C.S.A\:of\:Cylinder=2\pi{rh}}$

Putting Values :

$\longmapsto\tt{2\times\dfrac{314}{100}\times{12}\times{9}}$

$\longmapsto\tt{\dfrac{67824}{100}}$

$\longmapsto\tt\bf{678.34\:{cm}^{2}}$

So , The Curved Surface Area of Cylinder is 678.34 cm² .

Now ,

For Total Surface Area :

Using Formula :

$\longmapsto\tt\boxed{T.S.A\:of\:Cylinder=2\pi{r(r+h)}}$

Putting Values :

$\longmapsto\tt{2\times\dfrac{314}{100}\times{12}\times{(12+9)}}$

$\longmapsto\tt{\dfrac{628\times{12}}{100}\times{21}}$

$\longmapsto\tt{\dfrac{158256}{100}}$

$\longmapsto\tt\bf{1582.56\:{cm}^{2}}$

So , The Total Surface Area of Cylinder is 1582.56 cm² .

Answer 2

Answer:

Given :-

• Radius of base of a cylinder is 12 cm and its height is 9 cm.

To Find :-

• What is the curved surface area and total surface area.

Formula Used :-

❶ To find C.S.A of a cylinder we know that,

$\boxed{\bold{\small{Curved\: Surface\: Area\: =\: 2{\pi}rh}}}$

❷ To find T.S.A of a cylinder we know that,

$\boxed{\bold{\small{Total\: Surface\: Area\: =\: 2{\pi}r(r + h)}}}$

Solution :-

Given :

• Radius = 12 cm
• Height = 9 cm
• Pie (π) = 3.14

❶ First, we have to find the C.S.A of a cylinder,

⇒ C.S.A = $2 \times 3.14 \times 12 \times 9$

⇒ C.S.A = $6.28 \times 108$

➠ C.S.A = 678.24 cm²

$\therefore$ The curved surface area of a cylinder is 678.24 cm² .

❷ Now, we have to find the T.S.A of a cylinder,

⇒ T.S.A = $2 \times 3.14 \times 12(12 + 9)$

⇒ T.S.A = $2 \times 3.14 \times 12(21)$

⇒ T.S.A = $6.28 \times 252$

➠ T.S.A = 1582.56 cm²

$\therefore$ The total surface area of a cylinder is 1582.56 cm² .